Search a number
-
+
14444402040 = 23325231744493
BaseRepresentation
bin11010111001111010…
…00001010101111000
31101021122200122120100
431130331001111320
5214040231331130
610345145355400
71020642251205
oct153475012570
941248618510
1014444402040
116142541052
122971498b60
1314926c8873
149b0518cac
15598167c60
hex35cf41578

14444402040 has 96 divisors (see below), whose sum is σ = 48985391520. Its totient is φ = 3684367104.

The previous prime is 14444402009. The next prime is 14444402051. The reversal of 14444402040 is 4020444441.

14444402040 is a `hidden beast` number, since 14 + 4 + 4 + 440 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14444401995 and 14444402013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863967 + ... + 880526.

It is an arithmetic number, because the mean of its divisors is an integer number (510264495).

Almost surely, 214444402040 is an apocalyptic number.

14444402040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444402040 is an abundant number, since it is smaller than the sum of its proper divisors (34540989480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14444402040 is a wasteful number, since it uses less digits than its factorization.

14444402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744533 (or 1744526 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 14444402040 its reverse (4020444441), we get a palindrome (18464846481).

The spelling of 14444402040 in words is "fourteen billion, four hundred forty-four million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1744493 3488986 5233479 6977972 8722465 10466958 13955944 15700437 17444930 20933916 26167395 31400874 34889860 40123339 41867832 52334790 62801748 69779720 78502185 80246678 104669580 120370017 125603496 157004370 160493356 200616695 209339160 240740034 314008740 320986712 361110051 401233390 481480068 601850085 628017480 722220102 802466780 962960136 1203700170 1444440204 1604933560 1805550255 2407400340 2888880408 3611100510 4814800680 7222201020 14444402040